Qualitative theory of control systems with control constraints and state saturation: Two fundamental issues

2005 ◽  
pp. 9-19
Keyword(s):  
Control Systems ◽  
Qualitative Theory ◽  
Control Constraints ◽  
State Saturation

scholarly journals Measurable multifunctions and their applications to convex integral functionals

1989 ◽  
Vol 12 (1) ◽  
pp. 175-191 ◽  
Author(s):  
Nikolaos S. Papageorgiou
Keyword(s):  
Control Systems ◽  
Banach Spaces ◽  
Time Dependent ◽  
Linear Control ◽  
Linear Control Systems ◽  
Integral Functionals ◽  
Control Constraints ◽  
Infinite Dimensional ◽  
Measurable Multifunctions

The purpose of this paper is to establish some new properties of set valued measurable functions and of their sets of Integrable selectors and to use them to study convex integral functionals defined on Lebesgue-Bochner spaces. In this process we also obtain a characterization of separable dual Banach spaces using multifunctions and we present some generalizations of the classical “bang-bang” principle to infinite dimensional linear control systems with time dependent control constraints.

scholarly journals Pareto optimality for nonlinear infinite dimensional control systems

1990 ◽  
Vol 13 (2) ◽  
pp. 233-242
Author(s):  
Evgenios P. Avgerinos ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Control Systems ◽  
Pareto Optimality ◽  
Pareto Optimal ◽  
Pareto Optimal Solutions ◽  
Control Constraints ◽  
Optimal Solutions ◽  
Integral Criterion ◽  
Dimensional Control ◽  
Infinite Dimensional ◽  
State Dependent

In this note we establish the existence of Pareto optimal solutions for nonlinear, infinite dimensional control systems with state dependent control constraints and an integral criterion taking values in a separable, reflexive Banach lattice. An example is also presented in detail. Our result extends earlier ones obtained by Cesari and Suryanarayana.

Informational Foundations of Qualitative Theory of Control Systems

1978 ◽  
Vol 11 (1) ◽  
pp. 1763-1769 ◽  
Author(s):  
B.N. Petrov ◽  
V.S. Pugachev ◽  
G.M. Ulanov ◽  
O.Ye. Krinetsky ◽  
S.V. Ul’yanov
Keyword(s):  
Control Systems ◽  
Qualitative Theory

scholarly journals QUALITATIVE THEORY OF PARTIAL DIFFERENCE EQUATIONS (II): OSCILLATION CRITERIA FOR DIRECT CONTROL SYSTEMS IN SEVERAL VARIABLES

1995 ◽  
Vol 26 (1) ◽  
pp. 65-79
Author(s):  
SUI SUN CHENG ◽  
SHENG-LI XIE ◽  
BING-GEN ZHANG
Keyword(s):  
Control Systems ◽  
Difference Equations ◽  
Recurrence Relations ◽  
Qualitative Theory ◽  
Direct Control ◽  
Partial Difference Equations ◽  
Partial Difference ◽  
Averaging Technique ◽  
Oscillation Criteria ◽  
Several Variables

This paper is concerned with several direct control systems which are described by partial difference equations. By means of an averaging technique and several oscillation criteria for ordinary recurrence relations, we are able to establish several oscillation criteria for these control systems.

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