UNSOLVED PROBLEMS IN MATHEMATICAL SYSTEMS & CONTROL THEORY
CONTENTS PART 1 LINEAR SYSTEMS PROBLEM 11 STABILITY AND COMPOSITION OF TRANSFER FUNCTIONS PROBLEM 12 THE REALIZATION PROBLEM FOR HERGLOTZ-NEVANLINNA FUNCTIONS PROBLEM 13 DOES ANY ANALYTIC CONTRACTIVE OPERATOR FUNCTION ON THE POLYDISK HAVE A DISSIPATIVE SCATTERING ND REALIZATION? PROBLEM 14 PARTIAL DISTURBANCE DECOUPLING WITH STABILITY PROBLEM 15 IS MONOPOLI’S MODEL REFERENCE ADAPTIVE CONTROLLER CORRECT? PROBLEM 16 MODEL REDUCTION OF DELAY SYSTEMS PROBLEM 17 SCHUR EXTREMAL PROBLEMS PROBLEM 18 THE ELUSIVE I?TEST FOR TIME-CONTROLLABILITY OF BEHAVIORS CONTENTS PROBLEM 19 A FARKAS LEMMA FOR BEHAVIORAL INEQUALITIES AA (TONNY) TEN DAM, JW (HANS) NIEUWENHUIS PROBLEM 110 REGULAR FEEDBACK IMPLEMENTABILITY OF LINEAR DI?ERENTIAL BEHAVIORS H L TRENTELMAN PROBLEM 111 RICCATI STABILITY ERIK I VERRIEST PROBLEM 112 STATE AND ?RST ORDER REPRESENTATIONS JAN C WILLEMS PROBLEM 113 PROJECTION OF STATE SPACE REALIZATIONS ANTOINE VANDENDORPE, PAUL VAN DOOREN PART 2 STOCHASTIC SYSTEMS PROBLEM 21 ON ERROR OF ESTIMATION AND MINIMUM OF COST FOR WIDE BAND NOISE DRIVEN SYSTEMS AGAMIRZA E BASHIROV PROBLEM 22 ON THE STABILITY OF RANDOM MATRICES GIUSEPPE C CALA?ORE, FABRIZIO DABBENE PROBLEM 23 ASPECTS OF FISHER GEOMETRY FOR STOCHASTIC LINEAR SYSTEMS BERNARD HANZON, RALF PEETERS PROBLEM 24 ON THE CONVERGENCE OF NORMAL FORMS FOR ANALYTIC CONTROL SYSTEMS WEI KANG, ARTHUR J KRENER PART 3 NONLINEAR SYSTEMS PROBLEM 31 MINIMUM TIME CONTROL OF THE KEPLER EQUATION JEAN-BAPTISTE CAILLAU, JOSEPH GERGAUD, JOSEPH NOAILLES PROBLEM 32 LINEARIZATION OF LINEARLY CONTROLLABLE SYSTEMS R DEVANATHAN PROBLEM 33 BASES FOR LIE ALGEBRAS AND A CONTINUOUS CBH FORMULA MATTHIAS KAWSKI CONTENTS PROBLEM 34 AN EXTENDED GRADIENT CONJECTURE LUIS CARLOS MARTINS JR, GERALDO NUNES SILVA PROBLEM 35 OPTIMAL TRANSACTION COSTS FROM A STACKELBERG PERSPECTIVE GEERT JAN OLSDER PROBLEM 36 DOES CHEAP CONTROL SOLVE A SINGULAR NONLINEAR QUADRATIC PROBLEM? YURI V ORLOV PROBLEM 37 DELTA-SIGMA MODULATOR SYNTHESIS ANDERS RANTZER PROBLEM 38 DETERMINING OF VARIOUS ASYMPTOTICS OF SOLUTIONS OF NONLINEAR TIME- OPTIMAL PROBLEMS VIA RIGHT IDEALS IN THE MOMENT ALGEBRA G M SKLYAR, S YU IGNATOVICH PROBLEM 39 DYNAMICS OF PRINCIPAL AND MINOR COMPONENT ?OWS U HELMKE, S YOSHIZAWA, R EVANS, JH MANTON, AND IMY MAREELS PART 4 DISCRETE EVENT, HYBRID SYSTEMS PROBLEM 41 L2-INDUCED GAINS OF SWITCHED LINEAR SYSTEMS JO˜AO P HESPANHA PROBLEM 42 THE STATE PARTITIONING PROBLEM OF QUANTIZED SYSTEMS JAN LUNZE PROBLEM 43 FEEDBACK CONTROL IN ?OWSHOPS SP SETHI AND Q ZHANG PROBLEM 44 DECENTRALIZED CONTROL WITH COMMUNICATION BETWEEN CONTROLLERS JAN H VAN SCHUPPEN PART 5 DISTRIBUTED PARAMETER SYSTEMS PROBLEM 51 IN?NITE DIMENSIONAL BACKSTEPPING FOR NONLINEAR PARABOLIC PDES ANDRAS BALOGH, MIROSLAV KRSTIC PROBLEM 52 THE DYNAMICAL LAME SYSTEM WITH BOUNDARY CONTROL: ON THE STRUC- TURE OF REACHABLE SETS MI BELISHEV CONTENTS PROBLEM 53 NULL-CONTROLLABILITY OF THE HEAT EQUATION IN UNBOUNDED DOMAINS PROBLEM 54 IS THE CONSERVATIVE WAVE EQUATION REGULAR? PROBLEM 55 EXACT CONTROLLABILITY OF THE SEMILINEAR WAVE EQUATION PROBLEM 56 SOME CONTROL PROBLEMS IN ELECTROMAGNETICS AND ?UID DYNAMICS PART 6 STABILITY, STABILIZATION PROBLEM 61 COPOSITIVE LYAPUNOV FUNCTIONS PROBLEM 62 THE STRONG STABILIZATION PROBLEM FOR LINEAR TIME-VARYING SYSTEMS PROBLEM 63 ROBUSTNESS OF TRANSIENT BEHAVIOR PROBLEM 64 LIE ALGEBRAS AND STABILITY OF SWITCHED NONLINEAR SYSTEMS PROBLEM 65 ROBUST STABILITY TEST FOR INTERVAL FRACTIONAL ORDER LINEAR SYSTEMS PROBLEM 66 DELAY-INDEPENDENT AND DELAY-DEPENDENT AIZERMAN PROBLEM PROBLEM 67 OPEN PROBLEMS IN CONTROL OF LINEAR DISCRETE MULTIDIMENSIONAL SYS- TEMS PROBLEM 68 AN OPEN PROBLEM IN ADAPTATIVE NONLINEAR CONTROL THEORY PROBLEM 69 GENERALIZED LYAPUNOV THEORY AND ITS OMEGA-TRANSFORMABLE REGIONS CONTENTS PROBLEM 610 SMOOTH LYAPUNOV CHARACTERIZATION OF MEASUREMENT TO ERROR STA- BILITY PART 7 CONTROLLABILITY, OBSERVABILITY PROBLEM 71 TIME FOR LOCAL CONTROLLABILITY OF A 1-D TANK CONTAINING A ?UID MODELED BY THE SHALLOW WATER EQUATIONS PROBLEM 72 A HAUTUS TEST FOR IN?NITE-DIMENSIONAL SYSTEMS PROBLEM 73 THREE PROBLEMS IN THE ?ELD OF OBSERVABILITY PROBLEM 74 CONTROL OF THE KDV EQUATION PART 8 ROBUSTNESS, ROBUST CONTROL PROBLEM 81 H?-NORM APPROXIMATION PROBLEM 82 NONITERATIVE COMPUTATION OF OPTIMAL VALUE IN H?CONTROL PROBLEM 83 DETERMINING THE LEAST UPPER BOUND ON THE ACHIEVABLE DELAY MARGIN PROBLEM 84 STABLE CONTROLLER COE?CIENT PERTURBATION IN ?OATING POINT IMPLE- MENTATION PART 9 IDENTIFICATION, SIGNAL PROCESSING PROBLEM 91 A CONJECTURE ON LYAPUNOV EQUATIONS AND PRINCIPAL ANGLES IN SUB- SPACE IDENTI?CATION CONTENTS PROBLEM 92 STABILITY OF A NONLINEAR ADAPTIVE SYSTEM FOR ?LTERING AND PARAMETER ESTIMATION PART 10 ALGORITHMS, COMPUTATION PROBLEM 101 ROOT-CLUSTERING FOR MULTIVARIATE POLYNOMIALS AND ROBUST STABILITY ANALYSIS PROBLEM 102 WHEN IS A PAIR OF MATRICES STABLE? PROBLEM 103 FREENESS OF MULTIPLICATIVE MATRIX SEMIGROUPS PROBLEM 104 VECTOR-VALUED QUADRATIC FORMS IN CONTROL THEORY PROBLEM 105 NILPOTENT BASES OF DISTRIBUTIONS PROBLEM 106 WHAT IS THE CHARACTERISTIC POLYNOMIAL OF A SIGNAL ?OW GRAPH? PROBLEM 107 OPEN PROBLEMS IN RANDOMIZED µ ANALYSIS PART