Accession Number:

AD0601536

Title:

OPTIMAL MULTIPLICATIVE CONTROL.

Descriptive Note:

Corporate Author:

POLYTECHNIC INST OF BROOKLYN N Y MICROWAVE RESEARCH INST

Personal Author(s):

• Bhojwani ,Ashok
• Dorato,Peter

Report Date:

1964-06-01

Pagination or Media Count:

65.0

Abstract:

This study is concerned with the optimal control of systems whose dynamics are represented by n first order differential equations. The systems are linear and deterministic. The performance indices considered are 1 the mean squared error, 2 the regulator problem, and 3 the minimum time problem. Pontryagins maximum principle is used to derive the optimization equations for each of the above problems. The general theory is illustrated by various first and second order examples. A short discussion of the problem of stability and singular control is included. Author

Descriptors:

• *CONTROL SYSTEMS
• *LINEAR SYSTEMS
• *DIFFERENTIAL EQUATIONS
• OPTIMIZATION
• CONTROL
• NUMERICAL INTEGRATION
• MATRICES(MATHEMATICS)
• BOUNDARY VALUE PROBLEMS
• DYNAMIC PROGRAMMING
• CALCULUS OF VARIATIONS
• STABILITY
• DYNAMICS
• PERFORMANCE(ENGINEERING)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE